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Finding the Fourth Proportional to 677.52, 1,016.46 and 287.33

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Solution

The fourth proportional to 677.52, 1,016.46 and 287.33 is: 431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 1,016.46 = 287.33 : x
  2. Step 2: Convert to fraction form
    677.52/1,016.46 = 287.33/x
  3. Step 3: Cross multiply
    677.52x = 1,016.46 × 287.33
  4. Step 4: Simplify right side
    677.52x = 292,054.37
  5. Step 5: Solve for x
    x = 292,054.37/677.52
  6. Step 6: Final answer
    x = 431.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.